The relation between the numbers of pieces p Amy has learnt to sing at the end ofn weeks of singing lesson is given as : p = 2n + 3 .
After how many weeks would Amy be able to sing 17 pieces ?

Answer

To solve the problem step by step, we will follow the equation given and substitute the values accordingly.

### Step 1: Understand the equation
The relation between the number of pieces \( p \) Amy has learned to sing after \( n \) weeks is given by the equation:
\[ p = 2n + 3 \]

### Step 2: Substitute the known value
We need to find out after how many weeks Amy will be able to sing 17 pieces. Therefore, we substitute \( p = 17 \) into the equation:
\[ 17 = 2n + 3 \]

### Step 3: Isolate the term with \( n \)
To isolate \( n \), we first subtract 3 from both sides of the equation:
\[ 17 - 3 = 2n \]
\[ 14 = 2n \]

### Step 4: Solve for \( n \)
Next, we divide both sides by 2 to solve for \( n \):
\[ n = \frac{14}{2} \]
\[ n = 7 \]

### Conclusion
Amy will be able to sing 17 pieces after **7 weeks** of singing lessons.

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